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Dynamik meromorpher Funktionen auf der Riemannschen Zahlenkugel
Diplomica Verlag 2008; US$ 52.91Hauptbeschreibung Fatou und Julia veröffentlichten 1919/1920 bzw. 1918 ihre berühmten Arbeiten über die Iteration komplexer rationaler Funktionen. Durch die Anwendung des Konzeptes der normalen Familie durch Fatou und Julia standen der komplexen Dynamik nun funktionentheoretische Ergebnisse zur Verfügung. Julia und Fatou gelang so der Durchbruch... more...
Topics on Riemann Surfaces and Fuchsian Groups
Cambridge University Press 2001; US$ 90.00Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject. more...
An Introduction to Riemann Surfaces
Springer 2011; US$ 69.99This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces.... more...
Compact Riemann Surfaces and Algebraic Curves
World Scientific Publishing Company 1988; US$ 85.00This volume is an introduction to the theory of Compact Riemann Surfaces and algebraic curves. It gives a concise account of the elementary aspects of different viewpoints in curve theory. Foundational results on divisors and compact Riemann surfaces are also stated and proved. more...
Spectral Theory of Infinite-area Hyperbolic Surfaces
Springer 2007; US$ 69.99By focusing on the scattering theory of hyperbolic surfaces, this work provides an introduction to the geometry of hyperbolic surfaces. Aimed at graduate students and researchers, it draws on techniques from functional analysis and differential geometry, as well as some techniques from algebra and number theory. more...
Geometry of Riemann Surfaces and Teichmuller Spaces
Elsevier Science 2011; US$ 225.00The moduli problem is to describe the structure of the space of isomorphism classes of Riemann surfaces of a given topological type. This space is known as the moduli space and has been at the center of pure mathematics for more than a hundred years. In spite of its age, this field still attracts a lot of attention, the smooth compact Riemann surfaces... more...
Generalizations of Thomae's Formula for Zn Curves
Springer 2010; US$ 99.99Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions... more...
Riemannsche Flächen
Springer 2005; US$ 39.95Die Theorie Riemannscher Flächen wird vom Autor als ein Mikrokosmos der Reinen Mathematik dargestellt, in dem Methoden der Topologie und Geometrie, der komplexen und reellen Analysis sowie der Algebra zusammenwirken, um die reichhaltige Struktur dieser Flächen aufzuklären und zu erläutern. Viele Beispiele und Bilder, die in der... more...
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